A parameter-dependent refinement of the discrete Jensen's inequality for convex and mid-convex functions

<p>Abstract</p> <p>In this paper, a new parameter-dependent refinement of the discrete Jensen's inequality is given for convex and mid-convex functions. The convergence of the introduced sequences is also studied. One of the proofs requires an interesting convergence theorem w...

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Bibliographic Details
Main Author: Horv&#225;th L&#225;szl&#243;
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2011/1/26